Question

How do you find the complex conjugate of `3i`?

Answer 1

The complex conjugate of `3i` is `(-3i)`

Explanation:

The complex conjugate of a number is another number with a real component equal to the original number and an imaginary component equal in magnitude but with the opposite sign.

`color(red)("real")+color(blue)("imaginary")`

`color(blue)(3i) = color(red)(0)+color(blue)(3i)`

So the complex conjugate is
`color(red)(0) + color(blue)((-3i)) = color(blue)(-3i)`